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Finding the Fourth Proportional to 554.36, 764.44 and 357.64

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Solution

The fourth proportional to 554.36, 764.44 and 357.64 is: 493.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.36 : 764.44 = 357.64 : x
  2. Step 2: Convert to fraction form
    554.36/764.44 = 357.64/x
  3. Step 3: Cross multiply
    554.36x = 764.44 × 357.64
  4. Step 4: Simplify right side
    554.36x = 273,394.32
  5. Step 5: Solve for x
    x = 273,394.32/554.36
  6. Step 6: Final answer
    x = 493.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.